The production of an optical component from quartz glass by elongation of a coaxial arrangement of a core rod and a hollow cylinder is known. The arrangement is thus introduced into a heating zone, such that the lower end begins to partly soften and the component drawn from the softened part. According to the invention, a pseudo-continuous method for the formation of the restriction in the inner passage of the hollow cylinder on which the core rod is supported, is disclosed, whereby an upper hollow cylinder is fused end on with a lower hollow cylinder to form an axial composite cylinder, a core rod is introduced into the lower hollow cylinder and the axial cylinder composite partly softened and elongated to form the optical component. A drawing bulb extending to the upper hollow cylinder forms, within which the inner passage at least partly collapses with formation of the restriction and the upper cylinder is then separated off from the drawn optical component at a separating plane and then elongated together with a core rod to form an optical component.